Georgia Connections Academy is selling tickets to its Spring Fling. Adult tickets cost $4 and student tickets cost $2.50. The school makes $2,820. Write an equation that represents this situation to find the cost of all adult and student tickets sold. Use the variable s for student tickets and a for adult tickets sold. (7 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. Write an equation that represents this situation to find the cost of all adult and student tickets sold. Use the variable s for student tickets and a for adult tickets sold. a + s = Response area 900 tickets are sold for the spring fling. Write an equation to represent this situation. a + Response area = Response area Use the above system of equations to determine how many adult and student tickets were sold. Response area adult tickets and Response area student tickets were sold.
The equation that represents the cost of all adult and student tickets sold is a * 4 + s * 2.50 = 2820.
The equation that represents the number of tickets sold is a + s = 900.
Using the above system of equations, we can determine that 480 adult tickets and 420 student tickets were sold.
The equation that represents the cost of all adult and student tickets sold is:
4a + 2.50s = 2820
The equation that represents the situation where 900 tickets are sold for the spring fling is:
a + s = 900
To determine the number of adult and student tickets sold, we can solve the system of equations:
4a + 2.50s = 2820
a + s = 900
By solving this system of equations, we can find the values for a and s.
To find the cost of all adult and student tickets sold, we can use the equation:
4a + 2.50s = 2820
where "a" represents the number of adult tickets sold and "s" represents the number of student tickets sold.
To write an equation representing the situation where 900 tickets are sold for the Spring Fling, we know that the total number of tickets sold is the sum of adult and student tickets. Therefore, we can write:
a + s = 900
Using the system of equations, we can solve for the values of "a" and "s" by substituting one equation into the other:
a + s = 900
From this equation, we can solve for "a" by subtracting "s" from both sides:
a = 900 - s
Now, substitute this value of "a" into the first equation:
4(900 - s) + 2.50s = 2820
Simplify the equation:
3600 - 4s + 2.50s = 2820
Combine like terms:
-1.50s = -780
Divide both sides by -1.50 to solve for "s":
s = 520
Now, substitute this value of "s" back into the equation for "a":
a = 900 - 520
a = 380
Therefore, 380 adult tickets and 520 student tickets were sold.